Effect of nonlinear impact damping with non-integer compliance exponent on gear dynamic characteristics

A nonlinear impact damping model of single-degree-of-freedom spur cylindrical gear with backlash and time-varying stiffness was established. Systematic analyses of the dynamic responses were performed. First, the nonlinear damping coefficient was considered as a constant parameter with two types of compliance exponent, meanwhile, dynamic factors were adopted to depict the dynamic characteristics. Second, the bifurcation graphs were plotted, where the damping coefficient was obtained along with the impact velocity and coefficient of restitution. The results show that light and heavy load conditions have an effect on the responses when the compliance exponent is integer. On the contrary, when the compliance exponent is non-integer, the dynamic responses are slightly affected, namely the system is more stable than the former situation.

Analytical and numerical studies on the nonlinear dynamic response of orthotropic membranes under impact load

Orthotropic membrane components and structures are widely used in building structures, instruments and meters, electronic engineering, space and aeronautics, etc., because of their light weights. However, the same lightweight combined with low stiffness make membranes prone to vibration under dynamic loads, and in some cases the vibration may lead to structural failure. Herein, the undamped nonlinear vibration response of pretension rectangular orthotropic membrane structures subjected to impact loading is studied by analytical and numerical methods. The analytical solution is obtained by solving the governing equations by the Bubnov-Galerkin method and the Lindstedt-Poincare perturbation method. Numerical analysis has also been carried out based on the same theoretical model. The analytical and numerical results have been compared and analyzed, and the influence of various model parameters on membrane vibration discussed. The results obtained herein provide some theoretical basis for the vibration control and dynamic design of orthotropic membrane components and structures.

Resonance response of a single-degree-of-freedom nonlinear vibro-impact system to a narrow-band random parametric excitation

The resonant response of a single-degree-of-freedom nonlinear vibro-impact oscillator with a one-sided barrier to a narrow-band random parametric excitation is investigated. The narrow-band random excitation used here is a bounded random noise. The analysis is based on a special Zhuravlev transformation, which reduces the system to one without impacts, thereby permitting the applications of random averaging over ＂fast＂ variables. The averaged equations are solved exactly and an algebraic equation of the amplitude of the response is obtained for the ease without random disorder. The methods of linearization and moment are used to obtain the formula of the mean-square amplitude approximately for the case with random disorder. The effects of damping, detuning, restitution factor, nonlinear intensity, frequency and magnitude of random excitations are analysed. The theoretical analyses are verified by numerical results. Theoretical analyses and numerical simulations show that the peak response amplitudes will reduce at large damping or large nonlinear intensity and will increase with large amplitude or frequency of the random excitations. The phenomenon of stochastic jump is observed, that is, the steady-state response of the system will jump from a trivial solution to a large non-trivial one when the amplitude of the random excitation exceeds some threshold value, or will jump from a large non-trivial solution to a trivial one when the intensity of the random disorder of the random excitation exceeds some threshold value.

Fully Nonlinear Simulation for Fluid/Structure Impact：A Review

这篇论文基于 inviscid 和 imcompressible 液体和无旋的流动在液体 / 结构影响上论述工作的评论。焦点在和边界元素方法(BEM ) 的速度潜力理论上。充分非线性的边界条件在未知免费表面和动人的身体的弄湿的表面上被强加。评论包括(1 ) 在常数或规定变化速度的身体的垂直、倾斜的水入口，以及免费秋天运动，(2 ) 液体微滴或列影响以及波浪影响身体，(3 ) 膨胀身体的类似答案。它盖住二维(2D ) ， axisymmetric 并且三维(3D ) 盒子。在数字模拟使用的关键技术被构画出，包括 multivalued 上的网孔产生免费表面，为扩展域的拉长的坐标系统，压力的相互的依赖和身体打手势的为去耦的辅助函数方法，并且为喷气或薄液体电影的处理在影响期间发展了。

直齿锥齿轮系统动态特性参数解域界结构

为研究含间隙直齿锥齿轮系统的幅值跳跃、齿面冲击特性,用谐波平衡法建立系统动力学方程。在频率与间隙、时变刚度、静态综合误差和负载构建的参数平面内用Broyden拟牛顿法和伪弧长延续算法获得系统参数解域界结构,探索系统幅值跳跃、多值解和啮合冲击特性对参数的敏感性。结果表明在系统啮频和轴频主共振区均出现幅值跳跃和多值解现象,在啮频处动态特性更为复杂丰富。小间隙下存在严重的齿面冲击现象,当间隙b>0.98时系统的跳跃与齿面冲击均趋于稳定,系统动态特性对时变啮合刚度不敏感,在高速轻载、较大齿面误差激励下系统的非线性跳跃和齿面冲击均加剧。参数解域界结构为锥齿轮结构设计提供数据支持。

弧齿锥齿轮动力特性分析及其神经网络控制

针对含间隙锥齿轮系统动力学特性转迁及其控制问题,提出了基于胞元映射理论的参数解域结构和基于径向基函数神经网络的控制方法。采用集中质量法建立了7自由度弧齿锥齿轮动力学模型,基于胞元映射理论构建了频率和负载参数平面,采用伪不动点延续追踪算法求解了系统的分岔、齿面冲击、脱啮、齿背接触和动载特性转迁规律,分析发现频率和齿面冲击是影响周期分岔的主要因素,随负载增大其脱啮、冲击减弱,动载系数增大。针对平面中系统混沌现象,设计了参数反馈控制器、基于Poincaré截面欧氏距离构造适应度函数,用自适应引力搜索算法对控制器参数进行优化,从而实现了系统混沌、拟周期和周期运动向周期轨道有效控制。

城投债对经济高质量发展的非线性影响研究

文章基于2012-2021年我国31个省份面板数据,构建经济高质量发展评价指标体系,利用内生增长模型和门槛效应模型探讨城投债与经济高质量发展之间的关系。研究发现:城投债对经济高质量发展具有边际效用递减的非线性作用,存在双门槛效应。城投债最优债务规模为19.2%,当城投债余额与GDP之比低于19.2%时,城投债对经济高质量发展的促进作用最明显;超过19.2%时,促进作用开始减弱;超过27.6%时,促进作用最弱。异质性分析结果表明:我国东部地区和大债务规模组的双门槛效应显著,中部地区的单门槛效应显著,小债务规模组的单门槛效应不显著,西部地区不存在门槛效应。对此,不同省份应根据实际发展情况合理规划城投债发债规模,实施差异化的举债措施,积极防范化解地方债务风险,使其更好地发挥对城市经济高质量发展的促进作用。

单绳缠绕式矿井提升机制动瞬态冲击抑制策略

在矿井提升机的制动控制中,制动瞬态冲击是影响矿井提升机安全可靠运行的关键问题。由于受到技术和经济成本的制约,目前包含贴闸/压紧的制动过程全程采用力闭环控制,这不可避免地导致闸瓦与闸盘刚性接触时的制动力瞬态冲击问题。针对矿井提升机制动瞬态冲击问题,文中提出了一种基于滞回切换原理的混合贴闸/压紧制动控制策略。首先,分别利用非奇异快速终端滑模控制和反步控制设计了贴闸和压紧控制器;其次,为达到快速贴闸的目的,设计了一种基于离散积分器的在线贴闸轨迹再规划方法,有效地减小了制动器贴闸时间;然后,为实现由贴闸控制到压紧控制的安全切换,利用滞回切换原理,制定了混合贴闸/压紧控制稳态切换策略,大大减小了制动力瞬态冲击;最后,为验证提出方法的有效性,选择传统全程力闭环控制策略C1与混合贴闸/压紧直接切换策略C2作为对比方法,在单绳缠绕式提升试验台进行了对比实验,从贴闸时间、制动力最大跟踪误差和提升钢丝绳最大张力3个方面对实验结果进行了分析。实验结果表明:相较于C1控制策略,提出制动控制策略的贴闸时间缩短了64.5%,钢丝绳张力峰值减小了41 N;相较于C2控制策略,提出制动控制策略的制动力冲击减小了90.3%,钢丝绳张力峰值减小了88 N。上述结果表明本文提出的方法能有效改善制动瞬态冲击,减小制动空动时间,提高制动系统安全性,同时本研究也为一类需要混合力/位置控制的电液伺服系统提供了一种有效的解决方法。

船桥碰撞非线性数值仿真研究

为了研究湘江流域典型桥梁船桥碰撞时的撞击力和能量转换过程,为后续大桥的防船撞设计提供参考,以株洲建宁大桥为研究背景,按照实际尺寸建立货船和桥墩模型,并使用ABAQUS有限元软件对其进行非线性动力仿真分析,研究了船桥碰撞过程中,船的撞击速度、吨位和撞击角度对撞击力的影响,以及船的变形情况和船桥碰撞中的能量转化关系。研究结果表明:船撞力峰值和船速存在正相关关系;船舶的吨位越大,撞击力峰值越大并且撞击的时间越长;船的撞击角度与碰撞时间之间没有呈现出明显的规律;船的撞击速度、吨位和撞击角度3种影响因素对船桥碰撞的撞击力和船体变形均有影响,但主要因素还是船速和船的吨位;在碰撞过程中,船的撞击动能基本转化为塑性变形能,船体变形主要集中在船艏碰撞区域,远离碰撞区域的船身部位没有明显的变形。

过载和攻击时间约束下的非线性最优制导方法

考虑导弹过载受限条件下,对以期望时间为攻击目标的非线性最优制导问题进行了研究。首先,建立了非线性最优制导问题的理论模型,基于庞特里亚金极大值原理和饱和函数方法建立了最优轨迹的最优性条件。其次,根据最优性条件和哈密尔顿轨迹参数化方法,建立了最优轨迹的参数化微分方程组,使得通过数值积分即可生成从飞行状态到最优制导指令映射关系的数据集。然后,通过前馈神经网络对上述映射关系进行近似,实现了非线性最优制导指令的毫秒量级实时生成。最后,通过数值仿真验证了所提非线性最优制导指令生成方法的有效性。

引信系统螺纹连接界面的冲击传递特性模拟方法研究

大直径整体螺纹连接是引信安装在侵彻弹的弹体结构的主要形式,螺纹界面的冲击过载传递特性对于引信系统的设计具有重要意义.针对空间螺纹界面冲击传递过程中涉及的几何非线性和复杂接触摩擦状态以及界面分离带来的二次或多次碰撞等问题,设计了螺纹连接试件并建立了精细化有限元仿真模型,并通过大直径霍普金森杆的冲击实验测量数据验证有限元精细模型的有效性.从有限元仿真中获取整个螺纹结构件冲击响应的数值数据,对比内外结构的过载,并通过精细模型研究了预紧力对加速度响应的影响规律.最后针对现有薄层单元简化模型只能较好地模拟螺纹结构线性振动特性而无法准确模拟螺纹冲击传递特性的问题,提出考虑螺纹间碰撞作用的非线性薄层单元简化模型,丰富了螺纹连接简化模型的适用工况.

数字经济对黄河流域水资源利用效率的影响

为探究黄河流域数字经济与水资源利用效率之间的内在关联,基于2011—2019年黄河流域73个地级市的相关数据,利用超效率SBM模型测算各城市水资源利用效率,运用个体固定效应和中介效应模型,实证分析数字经济对黄河流域水资源利用效率的影响及作用机制。研究表明:数字经济发展能够显著提升黄河流域水资源利用效率,整体上呈现倒“U”型非线性影响关系;绿色技术创新在数字经济提升黄河流域水资源利用效率的过程中发挥中介作用。据此,建议适度发展数字经济,推动数字化和绿色化协同发展。

局部破损下考虑摩擦的直齿轮系统多状态啮合-碰撞动态特性研究

局部破损是直齿轮常见的故障之一,影响齿轮传动的平稳、安全运行。轮齿碰撞不可忽略,揭示局部破损下齿轮系统啮合-碰撞动态特性对提高齿轮系统安全稳定运行尤为重要。基于齿轮啮合原理和能量耗散碰撞接触力模型,考虑齿背接触的瞬时性,建立局部破损下齿面啮合模型和齿背碰撞模型。根据齿轮副接触状态及受力环境,对局部破损下多状态啮合-碰撞行为进行分类,建立局部破损下渐开线直齿轮系统啮合-碰撞离散动力学模型,探讨局部破损对齿轮系统啮合刚度和载荷分配的影响特征。分析局部破损下接触力变化机理,定义Poincaré映射截面,研究载荷系数和啮合频率变化下系统混沌、分岔特性。研究发现,局部破损影响接触力单双齿啮合区域,降低齿轮局部承载能力;较大载荷抑制齿背碰撞,较小载荷诱发周期运动共存现象和齿背碰撞;较大和较小啮合频率诱发齿背碰撞;混沌运动和周期运动共存现象诱发齿背碰撞,局部破损影响多周期共存现象,加剧系统运动的复杂性。揭示主动轮局部破损下考虑能量耗散的齿轮系统动力学模型及非线性振动机理,探究齿背碰撞发生条件。研究成果为故障齿轮系统非线性动力学建模和分析提供了新的方法和思路。

绿色金融、碳交易与产业绩效:影响机理及中国7个试点的力证

目前,各界对绿色金融和碳交易影响产业绩效的认知和预期仍相对模糊或片面。基于实际发展进程与客观诉求,对C-D生产函数进行重构与改进,通过实证分析验证绿色金融和碳交易影响产业绩效的动态机制。结果表明:直接影响,绿色金融和碳交易的导入会短暂阻碍产业绩效的提升,但跨越“拐点”后可显著促进产业发展;间接影响,绿色金融和碳交易的推进均存在一个最佳时间段,不仅可通过生产要素影响产业绩效,而且可促进“劳动密集型”向“资本密集型+能源密集型”的结构升级;现阶段绿色金融和碳交易的相互影响不具有对称性。只有对“试点建设”成功经验和作用规律进行科学总结才可为“全国推广”奠定坚实基础。

渔业技术推广对渔民收入影响的实证分析--基于我国30个省份的面板数据

本文应用我国30个省份(不包含港澳台地区和西藏自治区)2016-2021年的面板数据分析渔业技术推广对渔民收入的影响效应。结果发现,第一,渔业技术推广对渔民收入具有显著的促进作用。第二,渔业技术推广是通过促进渔业发展对渔民收入施加影响的。第三,渔业技术推广对非沿海地区渔民收入具有显著的促进作用,但对沿海地区渔民收入的影响不显著;渔业技术推广对中、西部地区渔民收入的影响较为显著,但对东部地区渔民收入的影响不显著;渔业技术推广对低、中、高收入渔民收入的促进作用均较为显著,且影响程度随渔民收入的增加而扩大。第四,渔业技术推广对渔民增收具有非线性影响,但需达到一定临界值时这种影响效应才会显著。

冲击荷载下岩土介质非线性振动预测方法研究

水利工程作为国家重点保护的民生工程,可能会承受军事打击、恐怖袭击、爆破施工等潜在的冲击荷载,因冲击荷载作用的强非线性,现有振动预测方法均存在不足之处。基于理论分析,提出一种能够精确预测冲击荷载下非线性振动的方法,并建立冲击荷载下岩土介质振动预测模型,通过大量现场实验验证方法及模型的准确性和实用性,为水利工程的安全防护提供理论依据。

Targeted energy transfer of a parallel nonlinear energy sink

A parallel nonlinear energy sink(NES) is proposed and analyzed. The parallel NES is composed of a vibro-impact(VI) NES and a cubic NES. The dynamical equation is given, and the essential analytical investigation is carried out to deal with the cubic nonlinearity and impact nonlinearity. Multiple time-scale expansion is introduced, and the zeroth order is derived to give a rough outline of the system. The underlying Hamilton dynamic equation is given, and then the optimal stiffness is expressed. The clearance is regarded as a critical factor for the VI. Based on the periodical impact treatment by analytical investigation, the relationships of the cubic stiffness, the clearance, and the zeroth-order attenuation amplitude of the linear primary oscillator(LPO) are obtained.A cubic NES under the optimal condition is compared with the parallel NES. Harmonic signals, harmonic signals with noises, and the excitation generated by a second-order?lter are considered as the potential excitation forces on the system. The targeted energy transfer(TET) in the designed parallel NES is shown to be more e?cient.

A modified Kelvin impact model for pounding simulation of base-isolated building with adjacent structures

Base isolation can effectively reduce the seismic forces on a superstructure, particularly in lowto medium-rise buildings. However, under strong near-fault ground motions, pounding may occur at the isolation level between the baseisolated building （BIB） and its surrounding retaining walls. To effectively investigate the behavior of the BIB pounding with adjacent structures, after assessing some commonly used impact models, a modified Kelvin impact model is proposed in this paper. Relevant parameters in the modified Kelvin model are theoretically derived and numerically verified through a simple pounding case. At the same time, inelasticity of the isolated superstructure is introduced in order to accurately evaluate the potential damage to the superstructure caused by the pounding of the BIB with adjacent structures. The reliability of the modified Kelvin impact model is validated through numerical comparisons with other impact models. However, the difference between the numerical results from the various impact analytical models is not significant. Many numerical simulations of BIBs are conducted to investigate the influence of various design parameters and conditions on the peak inter-story drifts and floor accelerations during pounding. It is shown that pounding can substantially increase floor accelerations, especially at the ground floor where impacts occur. Higher modes of vibration are excited during poundings, increasing the inter-story drifts instead of keeping a nearly rigid-body motion of the superstructure. Furthermore, higher ductility demands can be imposed on lower floors of the superstructure. Moreover, impact stiffness seems to play a significant role in the acceleration response at the isolation level and the inter-story drifts of lower floors of the superstructure. Finally, the numerical results show that excessive flexibility of the isolation system used to minimize the floor accelerations may cause the BIB to be more susceptible to pounding under a limited seismic gap.

Dynamic Response of Falling Liquid Storage Container Under Transient Impact

The dynamic response performance of a large,cylindrical,fluid-filled steel container under high-speed impact is evaluated through fluid-structure interaction analysis using arbitrary Lagrange-Eulerian(ALE)method.The ALE method is adopted to accurately calculate the structural behavior induced by the internal liquid impact of the container.The stress and strain results obtained from the finite element analysis are in line with the experimental shell impact data.The influences of drop angle,drop height,and flow impact frequency are discussed.Calculation results indicate that the impact stress and damage of the container increase with drop height.However,the amplitude of the oscillation and the impact stress increase when the container and flow impact resonance occur at a certain drop height.The impact stress shows a nonlinear relationship with drop angle.

Numerical simulation on impact-contact between the tips of a pair of blades

To study the dynamic characteristics and damping mechanism of impact-contact between the tips of blades further more,the impact-contact between the tips of a pair of blades was studied through numerical simulation.In this paper,the dynamic equation of contact-impact between the tips was established and Newmark direct integration method was adopted in numerical simulation.The nonlinear response characteristics and damping mechanism of impact-contact system are obtained.The results of numerical simulation were obtained as follows:As the clearance between blade shrouds is smaller,the vibration amplitude is smaller.The clearance between blade shrouds has a great influence on the input energy of the aerodynamic-excitation-vibration force.As the clearance of blade shrouds increases,the input energy of the aerodynamic-excitation-vibration force increases rapidly.